\(\bf \left( 4^p\cdot 4^1 \right)^3\impliedby \textit{distributing the exponent}
\\\\
\left(4^{p\cdot 3} \cdot 4^{1\cdot 3} \right)\implies 4^{3p}4^3\impliedby
\begin{array}{llll}
\textit{same base, different exponent}\\
\textit{add the exponents, keep the base}
\end{array}\)
what does it give you?
